Results 21 to 30 of about 1,751,758 (240)
Optimization of non-cylindrical domains for the exact null controllability of the 1D wave equation [PDF]
ESAIM: Control, Optimisation and Calculus of Variations, 2021 This work is concerned with the null controllability of the one-dimensional wave equation over non-cylindrical distributed domains. The controllability in that case has been obtained by Castroet al.[SIAM J. Control Optim.52(2014)] for domains satisfying the usual geometric optic condition.
Bottois, Arthur +2 more
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Null controllability of a nonlinear diffusion system in reactor dynamics [PDF]
, 2002 summary:In this paper, we prove the exact null controllability of certain diffusion system by rewriting it as an equivalent nonlinear parabolic integrodifferential equation with variable coefficients in a bounded interval of $\mathbb R$ with a ...
Park, Jong-Yeoul +5 more
core +1 more source
Advances in Difference Equations, 2019 By using stochastic analysis, fractional analysis, compact semigroups and the Schauder fixed-point theorem, we discuss the approximate boundary controllability of a nonlocal Hilfer fractional stochastic differential system with fractional Brownian motion
Hamdy M. Ahmed +2 more
doaj +1 more source
An approach to exact nonlinear feedback control design employing recursive approximations and the null space [PDF]
International Journal of Dynamics and Control, 2021 AbstractA strategy to design exact nonlinear feedback controllers based on a recursive application of approximate linearization methods is examined. The computations are algebraic and computationally simpler than solving the set of coupled nonlinear partial differential equations thereby facilitating practical symbolic computer computations enabling ...
Parisa Khosravi, Robert H. Bishop
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Controllability and null controllability of linear systems [PDF]
, 2005 This paper establishes sufficient conditions for the controllability and null controllability of linear systems. The aim is to use the variation of constant formula to deduce our controllability grammiam, by exploiting the properties of the grammiam ...
P Jackreece +5 more
core +5 more sources
Local exact controllability of the diffusion equation in one dimension
Abstract and Applied Analysis, 2003 This paper establishes the local exact null controllability of the diffusion equation in one dimension using distributed controls in the case of the Dirichlet boundary value problem.
Marius Beceanu
doaj +1 more source
Mathematics, 2019 Fractional integro-differential equations arise in the mathematical modeling of various physical phenomena like heat conduction in materials with memory, diffusion processes, etc.
Hamdy M. Ahmed +3 more
doaj +1 more source
FEBS Letters, EarlyView.This review focuses on the role of autophagy and mitophagy in maintaining pancreatic β‐cell function and homeostasis. We discuss how genetic defects affecting these pathways contribute to the development of type 1, type 2, monogenic, and gestational diabetes. We further explore their potential as therapeutic targets. Created in BioRender.
Yunkyeong Lee +2 more
wiley +1 more source
Exact controllability to trajectories for semilinear heat equations with discontinuous diffusion coefficientes [PDF]
, 2002 The results of this paper concern exact controllability to the trajectories for a coupled system of semilinear heat equations. We have transmission conditions on the interface and Dirichlet boundary conditions at the external part of the boundary so that
Doubova Krasotchenko, Anna +2 more
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FEBS Letters, EarlyView.How do genomes gain new functional parts? In eukaryotes, which tend to evolve under weak selection, much of the genome is junk. Palazzo and Qiu borrow the logic of Markov chains to show how non‐functional DNA becomes functional through the appearance of intermediate states, which arise due to epistasis, buffering, and biochemical messiness, allowing ...
Alexander F. Palazzo, Yi Qiu
wiley +1 more source